Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966l |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-656938917217285416 = -1 · 23 · 35 · 77 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -3 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-531332,153867288] |
[a1,a2,a3,a4,a6] |
j |
-5841725401/231336 |
j-invariant |
L |
1.1417107967411 |
L(r)(E,1)/r! |
Ω |
0.28542770573959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138k1 4998n1 |
Quadratic twists by: -7 17 |